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# Chapter 7.docx

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University of Guelph

Psychology

PSYC 1010

Harvey Marmurek

Winter

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Chapter 7
Raw Scores, z Scores, and Percentages
Step 1: convert raw score to z score
Step 2: look up area in Table B1
when you look up a number in the table in the % part it tells you the *area between mean and z*
-the table presents area between the mean and z and beyond the mean and z
To convert to a Raw Score
rd
-if the population mean is 500 and the standard deviation is 100 and the z is 0.33 (or 63 % tile)
x=z(SD) + population mean
x= 0.33 (100) + 500
= 33+500 =533
Z Table and Means
-need to calculate standard error because variability is smaller for distribution of means than for
distribution of scores
example:
A sample with N=36 has a mean = 533 from a population with a mean = 500 and standard
deviation = 100
whats the z score?
-standard error = 100/6 (square root of N) = 16.67
-z = (533-500) / 16.67 = 33/16.67 = 1.98
-percentile is 97.61(47.61 between 0 and z score – saw this on the table)
Parametric v. Nonparametric Tests
parametric tests: inferential statistical test based on assumptions about a population
(making assumpt

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